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Exploring the longest increasing subsequence problem reveals its intriguing connections to diverse mathematical fields, including random permutations and matrices. This book offers a playful yet detailed examination of these links, making complex concepts accessible to graduate students in mathematics, computer science, physics, and statistics. Key topics include the Vershik-Kerov-Logan-Shepp theorem, the Baik-Deift-Johansson theorem, and the Tracy-Widom distribution, showcasing significant advances in probability and combinatorics over the past four decades.
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The Surprising Mathematics of Longest Increasing Subsequences, Dan Romik
- Lingua
- Pubblicato
- 2016
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- (Copertina rigida)
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- Lingua
- Inglese
- Autori
- Dan Romik
- Editore
- Cambridge University Press
- Pubblicato
- 2016
- Formato
- Copertina rigida
- Pagine
- 366
- ISBN13
- 9781107075832
- Valutazione
- 5 su 5
- Descrizione
- Exploring the longest increasing subsequence problem reveals its intriguing connections to diverse mathematical fields, including random permutations and matrices. This book offers a playful yet detailed examination of these links, making complex concepts accessible to graduate students in mathematics, computer science, physics, and statistics. Key topics include the Vershik-Kerov-Logan-Shepp theorem, the Baik-Deift-Johansson theorem, and the Tracy-Widom distribution, showcasing significant advances in probability and combinatorics over the past four decades.